Kirchoff’s current law

Kirchoff’s current law is related to the current at the junctions of an electric circuit and maybe state as under

“The sum of all currents meeting at a Junction in an electric circuit is zero  ∑I=0 “

 A junction is a point in a circuit where two or more component are connected. As algebraic sum is one in which the sign of quantity is taken into account. For example consider four conductors carrying current I₁ , I₂ ,I₃, and I₄ .If we take the sign of current flowing toward point O as Positive then current flowing away from the point O will be sign negative sign.

Thus applying Kirchoff’s law of current at the junction O.

          (I₁)+(I₄)+(-I₂)+(-I₃) =0

          Or  I₁+I₄=I₂+I₃

i-e  Sum of incoming currents=cum of outgoing currents

Hence,Kirchoff law of current may also be state as

“algebraic sum of current flowing towards the junction in an electric circuit is equal to the algebraic sum of current flowing away from that junctions” .

Kirchhoff current law is true because electric current is merely the flow of electrons and they cannot accumulate at any point in the circuit this is in accordance with the law of conservation of charge. Hence Kircoff’s current law is based on the law  of conservation of charges.

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